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Finding the Fourth Proportional to 255.05, 352.00 and 144.56

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Solution

The fourth proportional to 255.05, 352.00 and 144.56 is: 199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.05 : 352.00 = 144.56 : x
  2. Step 2: Convert to fraction form
    255.05/352.00 = 144.56/x
  3. Step 3: Cross multiply
    255.05x = 352.00 × 144.56
  4. Step 4: Simplify right side
    255.05x = 50,884.40
  5. Step 5: Solve for x
    x = 50,884.40/255.05
  6. Step 6: Final answer
    x = 199.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.